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454720 = 2657229
BaseRepresentation
bin1101111000001000000
3212002202111
41233001000
5104022340
613425104
73602500
oct1570100
9762674
10454720
11290702
1219b194
1312bc86
14bba00
158eaea
hex6f040

454720 has 84 divisors (see below), whose sum is σ = 1303020. Its totient is φ = 150528.

The previous prime is 454711. The next prime is 454721. The reversal of 454720 is 27454.

454720 = T111 + T112 + ... + T159.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 254016 = 448^2 + 504^2 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 454691 and 454700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15666 + ... + 15694.

2454720 is an apocalyptic number.

454720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651510).

454720 is an abundant number, since it is smaller than the sum of its proper divisors (848300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

454720 is a wasteful number, since it uses less digits than its factorization.

454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 454720 is about 674.3292964124. The cubic root of 454720 is about 76.8979363997.

454720 divided by its product of nonzero digits (1120) gives a triangular number (406 = T28).

The spelling of 454720 in words is "four hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 64 70 80 98 112 116 140 145 160 196 203 224 232 245 280 290 320 392 406 448 464 490 560 580 784 812 928 980 1015 1120 1160 1421 1568 1624 1856 1960 2030 2240 2320 2842 3136 3248 3920 4060 4640 5684 6496 7105 7840 8120 9280 11368 12992 14210 15680 16240 22736 28420 32480 45472 56840 64960 90944 113680 227360 454720